Coloring remainders in Pascal's triangle

URL: http://www.shodor.org/interactivate/activities/pascal2/index.html

1007936

Using this online activity, the student practices division by finding remainders for a given number and clicking the appropriate numbers in Pascal's triangle to form a colored number pattern. The applet guides the student in finding all possible remainders, starting with zero, and will not allow an incorrect number to be colored. In addition, the applet gives constant feedback on the number of remainders to be found. Students can increase or decrease the number of rows in Pascal's triangle and use the auto coloring function. The program also keeps track of the total number and number of correct selections. From the activity page, What, How, and Why buttons open pages explaining the activity's purpose, function, and where the mathematics fits into the curriculum. The pages also reference the related NCTM standards for grades 6-8. Supplemental resources include a lesson plan, handouts, and exploration questions for further examining number patterns. Copyright 2005 Eisenhower National Clearinghouse

Summary

Subject keyword(s)	Arithmetic, Division, Mathematics, Number and operations, Operations, Patterns and sequences
Grade level	Elementary School, Middle School, Informal Education
Intended audience	Learner
Resource type	Audio/Visual, Instructional Material
Resource format	image, image/gif, image/jpeg, text, text/html
Rights	Copyright 1997-2004 The Shodor Education Foundation, Inc.

Found in collection(s)

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Title	Middle School Portal: Math and Science Pathways (MSP2)
Link	http://msteacher2.org/
Description	The Middle School Portal 2: Math and Science Pathways (MSP2) supports middle grades educators with high-quality, standards-based resources and promotes collaboration and knowledge-sharing among its users. Educators use MSP2 to increase content knowledge in science, mathematics, and appropriate pedagogy for youth ages 10 to 15. MSP2 employs social networking and digital tools to foster dynamic experiences that promote creation, modification, and sharing of resources, facilitate professional development, and support the integration of technology into practice. MSP2 is a project of the Ohio State University College of Education and Human Ecology, National Middle School Association, and Education Development Center, Inc., and is funded by the National Science Foundation. The partners integrate resources, tools, and services across projects, and support multiple methods of resource discovery to meet the needs of this audience.
	Full description and distribution of resources

Content contained within the resource

Interactivate Jump To:ActivitiesDiscussionsLessons--------ToolsAssessmentsDictionaryTextbooksStandards--------Version 1.0 Browse:By Subject (broad)By Topic (specific)By AudienceBy Resource Type Coloring Remainders in Pascal's Triangle Shodor > Interactivate > Activities > Coloring Remainders in Pascal's Triangle   tab0 content   Coloring Remainders in Pascal's Triangle: Color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that have the same remainder when divided by the number rolled, thereby practicing division and remainders, investigating number patterns, and investigating fractal patterns. Coloring Remainders in Pascal's Triangle is one of the Interactivate assessment explorers. On a mission to transform learning through computational thinking, Shodor is dedicated to the reform and improvement of mathematics and science education through student enrichment, faculty enhancement, and interactive curriculum development at all levels. Student development of numerical models and simulations integrated with core curriculum provides an opportunity to gain practical experience in computational science. Additionally, the National Computational Science Institute (NCSI) provides nation-wide workshops portraying resources and instructional ideas to middle school, high school, and undergraduate instructors for use in the classroom. Resources and materials offered to these instructors are available free of charge from Shodor's website and are largely developed by Shodor student interns. Shodor's academic program efficiently guides participants from excitement to experience to expertise through computational explorations, research opportunities, and service. We're sorry! We have detected JavaScript as being disabled in your browser. The links below provide instructions for enabling JavaScript dependent on your browser. Mozilla Firefox Users Internet Explorer Users Safari Users After enabling JavaScript, refresh the page. You may also try using the help feature of your browser. Printing Instructions Hide The output of the activities in Shodor's Interactivate are created dynamically by computer languages such as Java. As a result, the pictures on the screen are not something that your browser can easily print. These instructions should enable you and your students to print out results from your explorations, to annotate them, and to make them part of any assessment. Instruction for Windows Users Please make sure that the image that you wish to print is visible on the screen. Hit the "Print Screen" key on your keyboard. (This copies an image of your screen onto your computer's clipboard) Open a writing or drawing program (such as Microsoft Word or "Paint") Paint can be found at: · All Programs · Accessories · Paint "Paste" the image from the clipboard into the application (Edit · Paste). If you're using "Paint": you can use the "crop" tool to keep only the part of the image you wish. To use the crop tool: select the part of the image you wish to keep, then select the "Cut" option from the file menu and open up a new window and select the "Paste" option. Now you may print the file using File · Print. Instruction for Mac OS Users Press the following keys at the same time. Command (aka. the flower/Apple key) · Shift · 4 You will notice that your mouse cursor becomes a cross-hair. Using the cross-hair, create a rectangular box around the image you wish to caputure, then release the mouse. If you make a mistake, while still pressing down on the mouse key, hit the ESC key. A file will be created on your desktop called "Picture Y", where "Y" represents a number. You can open this file in Preview and print from this program as normal. tab2 content   tab3 content   ©1994-2012 Shodor   Activity Feedback